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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.11614 |
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| _version_ | 1866917990335774720 |
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| author | Andruchow, Esteban |
| author_facet | Andruchow, Esteban |
| contents | We study the C$^*$ algebra generated by the composition operator $C_a$ acting on the Hardy space $H^2$ of the unit disk, given by $C_af=f\circφ_a$, where $$ φ_a(z)=\frac{a-z}{1-\bar{a}z}, $$ for $|a|<1$. Also several operators related to $C_a$ are examined. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_11614 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The C$^*$-algebra of a composition reflection Andruchow, Esteban Operator Algebras Functional Analysis 47A05, 47B15, 47B33 We study the C$^*$ algebra generated by the composition operator $C_a$ acting on the Hardy space $H^2$ of the unit disk, given by $C_af=f\circφ_a$, where $$ φ_a(z)=\frac{a-z}{1-\bar{a}z}, $$ for $|a|<1$. Also several operators related to $C_a$ are examined. |
| title | The C$^*$-algebra of a composition reflection |
| topic | Operator Algebras Functional Analysis 47A05, 47B15, 47B33 |
| url | https://arxiv.org/abs/2504.11614 |